Ohm Walsh's do seem to like good control over the bass, and most tube amps, due to the output transformers, tend to have a lower dampening factor. That helps explain the tendency for many Ohm owners to go for higher powered Class D amps.
That said, I have a set of Ohm 1000s and recently went from a 150 watt/ch Hypex amp to a Class A Schiit Aegir amp that is only about 30 watts a channel into 6 ohms. So far, I have been really pleased; the improvement in the clarity of the midrange has been very noticeable for me. The power does limit my max average volume to around 85 dB, but that happens to correspond with my personal max listening volume these days. But, that gets to one of my biggest rules -- it is important to have an accurate read of your listening preferences. "Loud" or "medium" by themselves won't do it. Get a sound level meter.
However, we moved recently and the Ohm 1000s are at least one model size too small for the new listening room. I'm actually debating whether I should move to a pair of Ohm 2000s or get myself a subwoofer and only run the 1000s above the crossover point. It'll be interesting to find out where I end up.